On an extension of min-semistable distributions

• Autorzy: Ben Alaya M. , Huillet T. , Porzio A.
• Języki publikacji: EN

Abstrakty

EN

This work focuses on a functional equation which extends the notion of min-semistable distributions. Our main results are an existence theorem and a characterization theorem for its solutions. The first establishes the existence of a class of solutions of this equation under a condition on the first zero on the positive axis of the associated structure function. The second shows that solutions belonging to a subclass of complementary distribution functions can be identified by their behavior at the origin. Our constructed solutions are in this subclass. The uniqueness question is also discussed.

Słowa kluczowe

EN

stable laws; semistable laws; functional equation

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2007
• Tom: Vol. 27, Fasc. 2
• Strony: 303--323
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Ben Alaya M.

• Departement de Mathématique, LAGA, Institut Galilée, Université de París 13 et CNRS (UMR 7539), 93439, Villetaneuse, France

autor

Huillet T.

• Departement de Physique, LPTM, Université de Cergy-Pontoise, et CNRS (UMR 8089), 2, Avenue A. Chauvin, 95032, Cergy-Pontoise Cedex, France

autor

Porzio A.

• École Polytechnique, CPTH, École Polytechnique, 91128 Palaiseau, France

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